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114017382 = 2345979151
BaseRepresentation
bin1101100101111…
…00010001100110
321221112200110000
412302330101212
5213142024012
615151442130
72553063123
oct662742146
9257480400
10114017382
11593a5a46
1232226346
131a810b0b
14111dd74a
15a022ddc
hex6cbc466

114017382 has 80 divisors (see below), whose sum is σ = 264844800. Its totient is φ = 36644400.

The previous prime is 114017327. The next prime is 114017401. The reversal of 114017382 is 283710411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 755007 + ... + 755157.

It is an arithmetic number, because the mean of its divisors is an integer number (3310560).

Almost surely, 2114017382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114017382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132422400).

114017382 is an abundant number, since it is smaller than the sum of its proper divisors (150827418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114017382 is a wasteful number, since it uses less digits than its factorization.

114017382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 114017382 is about 10677.8922077346. The cubic root of 114017382 is about 484.9054011835.

Adding to 114017382 its reverse (283710411), we get a palindrome (397727793).

The spelling of 114017382 in words is "one hundred fourteen million, seventeen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 59 79 81 118 151 158 162 177 237 302 354 453 474 531 711 906 1062 1359 1422 1593 2133 2718 3186 4077 4266 4661 4779 6399 8154 8909 9322 9558 11929 12231 12798 13983 17818 23858 24462 26727 27966 35787 41949 53454 71574 80181 83898 107361 125847 160362 214722 240543 251694 322083 377541 481086 644166 703811 721629 755082 966249 1407622 1443258 1932498 2111433 4222866 6334299 12668598 19002897 38005794 57008691 114017382